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100+ Free Tamil Nadu HSE Second Year Business Mathematics and Statistics Practice Questions

Tamil Nadu Higher Secondary Second Year (HSE +2 / Class 12) Business Mathematics and Statistics under the Directorate of Government Examinations (DGE), Tamil Nadu practice questions are available now; exam metadata is being verified.

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2026 Statistics

Key Facts: Tamil Nadu HSE Second Year Business Mathematics and Statistics Exam

10:00–1:15

Official March 2026 HSE+2 theory sitting window including reading/verification time (dge.tn.gov.in timetable)

DGE TN HSE+2 March 2026 public examination timetable

35/100

Minimum pass mark per subject under the HSE new pattern, subject to theory/practical floor rules

DGE HSE_E.pdf scheme of examination

3 hours

Approximate theory writing duration after reading and particulars verification in the public exam schedule

DGE TN HSE+2 March 2026 timetable

DGE TN

Administered by the Directorate of Government Examinations, Chennai, for Tamil Nadu State Board Higher Secondary

dge.tn.gov.in

SCERT syllabus

Class 12 textbooks and syllabus prescribed by SCERT / School Education Department (Samacheer Kalvi)

DGE HSE scheme — syllabus prescribed by SCERT/DSE

English MCQ bank

This practice set is an English-language MCQ study adaptation, not the official mixed written paper

OpenExamPrep practice-content policy

₹150/₹200

School exam fee band for groups without/with practical subjects plus certificate/service charges (concessions apply)

DGE HSE_E.pdf school candidate fee table

March 2026

HSE Second Year public theory examinations scheduled 2–26 March 2026 with practicals 9–14 February 2026

DGE TN official timetable PDF 04.11.2025

Free English MCQ practice for Tamil Nadu HSE +2 Business Mathematics and Statistics (DGE). Official paper is mixed written theory on the Samacheer Kalvi Class 12 syllabus — this bank is a study adaptation, not a format simulation.

Sample Tamil Nadu HSE Second Year Business Mathematics and Statistics Practice Questions

Try these sample questions to test your Tamil Nadu HSE Second Year Business Mathematics and Statistics exam readiness. Each question includes a detailed explanation. Start the interactive quiz above for the full 100+ question experience with AI tutoring.

1If A is a square matrix of order 3 and |A| = 4, then |2A| equals:
A.8
B.16
C.32
D.64
Explanation: For an n × n matrix, |kA| = k^n |A|. Here n = 3 and k = 2, so |2A| = 2³ × 4 = 8 × 4 = 32.
2The rank of the matrix [[1, 2], [2, 4]] is:
A.0
B.1
C.2
D.3
Explanation: Row 2 is exactly twice Row 1, so the two rows are linearly dependent. There is one non-zero independent row, so rank(A) = 1. The determinant is 1×4 − 2×2 = 0, confirming the matrix is singular and rank < 2.
3If A = [[2, 3], [1, 4]] and B = [[1, 0], [0, 1]], then AB equals:
A.[[2, 3], [1, 4]]
B.[[1, 0], [0, 1]]
C.[[3, 3], [1, 5]]
D.[[2, 0], [0, 4]]
Explanation: B is the 2 × 2 identity matrix I. For any compatible matrix A, AI = A. Therefore AB = A = [[2, 3], [1, 4]].
4The value of the determinant |[[3, 1], [2, 4]]| is:
A.10
B.14
C.12
D.5
Explanation: For a 2 × 2 determinant |[[a, b], [c, d]]| = ad − bc. Here ad − bc = 3×4 − 1×2 = 12 − 2 = 10.
5Using Cramer’s rule, for the system 2x + y = 5 and x − y = 1, the value of x is:
A.2
B.1
C.3
D.4
Explanation: D = |[[2, 1], [1, −1]]| = −2 − 1 = −3. D_x = |[[5, 1], [1, −1]]| = −5 − 1 = −6. Therefore x = D_x / D = (−6)/(−3) = 2. Check: 2(2)+y=5 ⇒ y=1 and 2−1=1.
6If |A| = 0 for a square matrix A, then A is:
A.Singular
B.Non-singular
C.Identity
D.Orthogonal
Explanation: A square matrix with determinant zero is called singular. Singular matrices are not invertible. Non-singular matrices have non-zero determinant.
7A transition probability matrix for a two-state Markov chain is [[0.7, 0.3], [0.4, 0.6]]. The probability of moving from state 1 to state 2 in one step is:
A.0.7
B.0.3
C.0.4
D.0.6
Explanation: In a transition matrix P, entry p_ij is the probability of moving from state i to state j in one step. Reading row 1, column 2 gives p_12 = 0.3.
8If A = [[1, 2, 3], [0, 1, 4], [0, 0, 1]], then rank(A) is:
A.1
B.2
C.3
D.0
Explanation: A is upper triangular with non-zero diagonal entries 1, 1, 1. All three rows are linearly independent (or equivalently |A| = 1 ≠ 0), so rank(A) = 3.
9Solve by Cramer’s rule: x + 2y = 8 and 3x + y = 9. The value of y is:
A.3
B.2
C.1
D.4
Explanation: D = |[[1, 2], [3, 1]]| = 1 − 6 = −5. D_y = |[[1, 8], [3, 9]]| = 9 − 24 = −15. y = D_y/D = (−15)/(−5) = 3. Then x + 6 = 8 ⇒ x = 2, and 3(2)+3 = 9.
10If each element of a 3 × 3 matrix A is multiplied by 3, the determinant becomes 54. Then the original |A| is:
A.2
B.6
C.18
D.54
Explanation: |3A| = 3³ |A| = 27 |A| = 54 ⇒ |A| = 54/27 = 2.

About the Tamil Nadu HSE Second Year Business Mathematics and Statistics Practice Questions

Verified exam format metadata for Tamil Nadu Higher Secondary Second Year (HSE +2 / Class 12) Business Mathematics and Statistics under the Directorate of Government Examinations (DGE), Tamil Nadu is pending. The practice questions above remain available while official exam length, timing, passing score, fee, and administrator details are reviewed.